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yan
9 days ago
11

FGHJ is a parallelogram what is angle FKJ

Mathematics
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Find the rational form of 71.625​
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In 1994, the General Social Survey had a question that asked its participants (that currently smoked) if they had ever tried to
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Answer:

The proportion of the population that attempted to stop smoking is 0.8239.

Step-by-step explanation:

In the problem, we are provided with the following details:

Total sample size, n = 142

Individuals who attempted to quit smoking = 117

Parameter:

  • A parameter represents a numerical descriptor of a population.

The calculation for the population proportion is as follows:

p = \dfrac{x}{n} \\\\p= \dfrac{117}{142} \\\\p= 0.8239

The proportion of the population that attempted to stop smoking is 0.8239.

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1 month ago
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
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To address this issue, we will utilize the formula for determining the distance from a point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

 

We have the line equation:

y = 2 x + 4

Rearranging it results in:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

 

The coordinates given are:

(-4, 11) = (x, y)

 

Substituting into the distance formula:

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance ≈ 6.7

 

<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>

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2 months ago
Gabe charges $30 to mow a lawn. Nate
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Gabe mowed 5 lawns and made $150.
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